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Finding the Fourth Proportional to 105,646.68, 145,780.56 and 65,386.44

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Solution

The fourth proportional to 105,646.68, 145,780.56 and 65,386.44 is: 90,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646.68 : 145,780.56 = 65,386.44 : x
  2. Step 2: Convert to fraction form
    105,646.68/145,780.56 = 65,386.44/x
  3. Step 3: Cross multiply
    105,646.68x = 145,780.56 × 65,386.44
  4. Step 4: Simplify right side
    105,646.68x = 9,532,071,839.61
  5. Step 5: Solve for x
    x = 9,532,071,839.61/105,646.68
  6. Step 6: Final answer
    x = 90,225.95

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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.