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Finding the Fourth Proportional to 257,466.72, 386,200.04 and 99,695.16

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Solution

The fourth proportional to 257,466.72, 386,200.04 and 99,695.16 is: 149,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.72 : 386,200.04 = 99,695.16 : x
  2. Step 2: Convert to fraction form
    257,466.72/386,200.04 = 99,695.16/x
  3. Step 3: Cross multiply
    257,466.72x = 386,200.04 × 99,695.16
  4. Step 4: Simplify right side
    257,466.72x = 38,502,274,779.81
  5. Step 5: Solve for x
    x = 38,502,274,779.81/257,466.72
  6. Step 6: Final answer
    x = 149,542.72

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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.