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Finding the Fourth Proportional to 77,285.10, 115,964.10 and 57,602.10

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Solution

The fourth proportional to 77,285.10, 115,964.10 and 57,602.10 is: 86,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,285.10 : 115,964.10 = 57,602.10 : x
  2. Step 2: Convert to fraction form
    77,285.10/115,964.10 = 57,602.10/x
  3. Step 3: Cross multiply
    77,285.10x = 115,964.10 × 57,602.10
  4. Step 4: Simplify right side
    77,285.10x = 6,679,775,684.61
  5. Step 5: Solve for x
    x = 6,679,775,684.61/77,285.10
  6. Step 6: Final answer
    x = 86,430.32

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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.