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Finding the Fourth Proportional to 101,654.34, 140,269.72 and 56,330.14

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Solution

The fourth proportional to 101,654.34, 140,269.72 and 56,330.14 is: 77,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,654.34 : 140,269.72 = 56,330.14 : x
  2. Step 2: Convert to fraction form
    101,654.34/140,269.72 = 56,330.14/x
  3. Step 3: Cross multiply
    101,654.34x = 140,269.72 × 56,330.14
  4. Step 4: Simplify right side
    101,654.34x = 7,901,412,965.36
  5. Step 5: Solve for x
    x = 7,901,412,965.36/101,654.34
  6. Step 6: Final answer
    x = 77,728.24

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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.