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Finding the Fourth Proportional to 54,886.68, 75,748.07 and 31,018.31

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Solution

The fourth proportional to 54,886.68, 75,748.07 and 31,018.31 is: 42,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886.68 : 75,748.07 = 31,018.31 : x
  2. Step 2: Convert to fraction form
    54,886.68/75,748.07 = 31,018.31/x
  3. Step 3: Cross multiply
    54,886.68x = 75,748.07 × 31,018.31
  4. Step 4: Simplify right side
    54,886.68x = 2,349,577,117.16
  5. Step 5: Solve for x
    x = 2,349,577,117.16/54,886.68
  6. Step 6: Final answer
    x = 42,807.78

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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.