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Finding the Fourth Proportional to 90,642.95, 135,673.28 and 48,417.45

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Solution

The fourth proportional to 90,642.95, 135,673.28 and 48,417.45 is: 72,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,642.95 : 135,673.28 = 48,417.45 : x
  2. Step 2: Convert to fraction form
    90,642.95/135,673.28 = 48,417.45/x
  3. Step 3: Cross multiply
    90,642.95x = 135,673.28 × 48,417.45
  4. Step 4: Simplify right side
    90,642.95x = 6,568,953,681.44
  5. Step 5: Solve for x
    x = 6,568,953,681.44/90,642.95
  6. Step 6: Final answer
    x = 72,470.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.