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Finding the Fourth Proportional to 153,254.16, 211,472.17 and 85,255.07

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Solution

The fourth proportional to 153,254.16, 211,472.17 and 85,255.07 is: 117,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,254.16 : 211,472.17 = 85,255.07 : x
  2. Step 2: Convert to fraction form
    153,254.16/211,472.17 = 85,255.07/x
  3. Step 3: Cross multiply
    153,254.16x = 211,472.17 × 85,255.07
  4. Step 4: Simplify right side
    153,254.16x = 18,029,073,385.90
  5. Step 5: Solve for x
    x = 18,029,073,385.90/153,254.16
  6. Step 6: Final answer
    x = 117,641.66

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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.