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Finding the Fourth Proportional to 102,035.31, 153,068.75 and 52,088.31

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Solution

The fourth proportional to 102,035.31, 153,068.75 and 52,088.31 is: 78,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,035.31 : 153,068.75 = 52,088.31 : x
  2. Step 2: Convert to fraction form
    102,035.31/153,068.75 = 52,088.31/x
  3. Step 3: Cross multiply
    102,035.31x = 153,068.75 × 52,088.31
  4. Step 4: Simplify right side
    102,035.31x = 7,973,092,240.87
  5. Step 5: Solve for x
    x = 7,973,092,240.87/102,035.31
  6. Step 6: Final answer
    x = 78,140.52

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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.