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Finding the Fourth Proportional to 153,535.86, 211,874.10 and 85,549.32

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Solution

The fourth proportional to 153,535.86, 211,874.10 and 85,549.32 is: 118,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,535.86 : 211,874.10 = 85,549.32 : x
  2. Step 2: Convert to fraction form
    153,535.86/211,874.10 = 85,549.32/x
  3. Step 3: Cross multiply
    153,535.86x = 211,874.10 × 85,549.32
  4. Step 4: Simplify right side
    153,535.86x = 18,125,684,859.80
  5. Step 5: Solve for x
    x = 18,125,684,859.80/153,535.86
  6. Step 6: Final answer
    x = 118,055.06

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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.