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Finding the Fourth Proportional to 103,161.47, 142,424.93 and 67,411.31

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Solution

The fourth proportional to 103,161.47, 142,424.93 and 67,411.31 is: 93,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,161.47 : 142,424.93 = 67,411.31 : x
  2. Step 2: Convert to fraction form
    103,161.47/142,424.93 = 67,411.31/x
  3. Step 3: Cross multiply
    103,161.47x = 142,424.93 × 67,411.31
  4. Step 4: Simplify right side
    103,161.47x = 9,601,050,564.36
  5. Step 5: Solve for x
    x = 9,601,050,564.36/103,161.47
  6. Step 6: Final answer
    x = 93,068.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.