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Finding the Fourth Proportional to 122,688, 169,240.14 and 77,288.04

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Solution

The fourth proportional to 122,688, 169,240.14 and 77,288.04 is: 106,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 169,240.14 = 77,288.04 : x
  2. Step 2: Convert to fraction form
    122,688/169,240.14 = 77,288.04/x
  3. Step 3: Cross multiply
    122,688x = 169,240.14 × 77,288.04
  4. Step 4: Simplify right side
    122,688x = 13,080,238,709.93
  5. Step 5: Solve for x
    x = 13,080,238,709.93/122,688
  6. Step 6: Final answer
    x = 106,613.84

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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.