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Finding the Fourth Proportional to 122,503.16, 169,070.02 and 74,746.38

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Solution

The fourth proportional to 122,503.16, 169,070.02 and 74,746.38 is: 103,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,503.16 : 169,070.02 = 74,746.38 : x
  2. Step 2: Convert to fraction form
    122,503.16/169,070.02 = 74,746.38/x
  3. Step 3: Cross multiply
    122,503.16x = 169,070.02 × 74,746.38
  4. Step 4: Simplify right side
    122,503.16x = 12,637,371,961.53
  5. Step 5: Solve for x
    x = 12,637,371,961.53/122,503.16
  6. Step 6: Final answer
    x = 103,159.56

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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.