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Finding the Fourth Proportional to 257,158.72, 354,909.36 and 143,959.60

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Solution

The fourth proportional to 257,158.72, 354,909.36 and 143,959.60 is: 198,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158.72 : 354,909.36 = 143,959.60 : x
  2. Step 2: Convert to fraction form
    257,158.72/354,909.36 = 143,959.60/x
  3. Step 3: Cross multiply
    257,158.72x = 354,909.36 × 143,959.60
  4. Step 4: Simplify right side
    257,158.72x = 51,092,609,501.86
  5. Step 5: Solve for x
    x = 51,092,609,501.86/257,158.72
  6. Step 6: Final answer
    x = 198,681.22

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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.