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Finding the Fourth Proportional to 65,306.61, 90,039.69 and 42,295.78

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Solution

The fourth proportional to 65,306.61, 90,039.69 and 42,295.78 is: 58,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.61 : 90,039.69 = 42,295.78 : x
  2. Step 2: Convert to fraction form
    65,306.61/90,039.69 = 42,295.78/x
  3. Step 3: Cross multiply
    65,306.61x = 90,039.69 × 42,295.78
  4. Step 4: Simplify right side
    65,306.61x = 3,808,298,588.67
  5. Step 5: Solve for x
    x = 3,808,298,588.67/65,306.61
  6. Step 6: Final answer
    x = 58,314.14

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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.