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Finding the Fourth Proportional to 57,454,896.31, 86,175,978.19 and 20,565,312.95

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Solution

The fourth proportional to 57,454,896.31, 86,175,978.19 and 20,565,312.95 is: 30,845,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,454,896.31 : 86,175,978.19 = 20,565,312.95 : x
  2. Step 2: Convert to fraction form
    57,454,896.31/86,175,978.19 = 20,565,312.95/x
  3. Step 3: Cross multiply
    57,454,896.31x = 86,175,978.19 × 20,565,312.95
  4. Step 4: Simplify right side
    57,454,896.31x = 1,772,235,960,249,724.50
  5. Step 5: Solve for x
    x = 1,772,235,960,249,724.50/57,454,896.31
  6. Step 6: Final answer
    x = 30,845,690.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.