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Finding the Fourth Proportional to 48,038.58, 72,026.88 and 19,978.02

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Solution

The fourth proportional to 48,038.58, 72,026.88 and 19,978.02 is: 29,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,038.58 : 72,026.88 = 19,978.02 : x
  2. Step 2: Convert to fraction form
    48,038.58/72,026.88 = 19,978.02/x
  3. Step 3: Cross multiply
    48,038.58x = 72,026.88 × 19,978.02
  4. Step 4: Simplify right side
    48,038.58x = 1,438,954,449.18
  5. Step 5: Solve for x
    x = 1,438,954,449.18/48,038.58
  6. Step 6: Final answer
    x = 29,954.14

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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.