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Finding the Fourth Proportional to 107,754.66, 148,715.01 and 65,307.78

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Solution

The fourth proportional to 107,754.66, 148,715.01 and 65,307.78 is: 90,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,754.66 : 148,715.01 = 65,307.78 : x
  2. Step 2: Convert to fraction form
    107,754.66/148,715.01 = 65,307.78/x
  3. Step 3: Cross multiply
    107,754.66x = 148,715.01 × 65,307.78
  4. Step 4: Simplify right side
    107,754.66x = 9,712,247,155.78
  5. Step 5: Solve for x
    x = 9,712,247,155.78/107,754.66
  6. Step 6: Final answer
    x = 90,132.97

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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.