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Finding the Fourth Proportional to 74,393.93, 102,638.65 and 42,124.14

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Solution

The fourth proportional to 74,393.93, 102,638.65 and 42,124.14 is: 58,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,393.93 : 102,638.65 = 42,124.14 : x
  2. Step 2: Convert to fraction form
    74,393.93/102,638.65 = 42,124.14/x
  3. Step 3: Cross multiply
    74,393.93x = 102,638.65 × 42,124.14
  4. Step 4: Simplify right side
    74,393.93x = 4,323,564,756.70
  5. Step 5: Solve for x
    x = 4,323,564,756.70/74,393.93
  6. Step 6: Final answer
    x = 58,117.17

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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.