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Finding the Fourth Proportional to 90,424.80, 135,656.64 and 37,807.20

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Solution

The fourth proportional to 90,424.80, 135,656.64 and 37,807.20 is: 56,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424.80 : 135,656.64 = 37,807.20 : x
  2. Step 2: Convert to fraction form
    90,424.80/135,656.64 = 37,807.20/x
  3. Step 3: Cross multiply
    90,424.80x = 135,656.64 × 37,807.20
  4. Step 4: Simplify right side
    90,424.80x = 5,128,797,719.81
  5. Step 5: Solve for x
    x = 5,128,797,719.81/90,424.80
  6. Step 6: Final answer
    x = 56,718.93

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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.