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Finding the Fourth Proportional to 122,693.70, 169,267.01 and 77,357.19

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Solution

The fourth proportional to 122,693.70, 169,267.01 and 77,357.19 is: 106,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,693.70 : 169,267.01 = 77,357.19 : x
  2. Step 2: Convert to fraction form
    122,693.70/169,267.01 = 77,357.19/x
  3. Step 3: Cross multiply
    122,693.70x = 169,267.01 × 77,357.19
  4. Step 4: Simplify right side
    122,693.70x = 13,094,019,866.52
  5. Step 5: Solve for x
    x = 13,094,019,866.52/122,693.70
  6. Step 6: Final answer
    x = 106,721.21

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1.5x scale

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.