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Finding the Fourth Proportional to 54,312.68, 74,948.34 and 31,655.36

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Solution

The fourth proportional to 54,312.68, 74,948.34 and 31,655.36 is: 43,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312.68 : 74,948.34 = 31,655.36 : x
  2. Step 2: Convert to fraction form
    54,312.68/74,948.34 = 31,655.36/x
  3. Step 3: Cross multiply
    54,312.68x = 74,948.34 × 31,655.36
  4. Step 4: Simplify right side
    54,312.68x = 2,372,516,684.10
  5. Step 5: Solve for x
    x = 2,372,516,684.10/54,312.68
  6. Step 6: Final answer
    x = 43,682.56

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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.