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Finding the Fourth Proportional to 157,223.64, 216,961.80 and 85,603.92

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Solution

The fourth proportional to 157,223.64, 216,961.80 and 85,603.92 is: 118,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.64 : 216,961.80 = 85,603.92 : x
  2. Step 2: Convert to fraction form
    157,223.64/216,961.80 = 85,603.92/x
  3. Step 3: Cross multiply
    157,223.64x = 216,961.80 × 85,603.92
  4. Step 4: Simplify right side
    157,223.64x = 18,572,780,570.26
  5. Step 5: Solve for x
    x = 18,572,780,570.26/157,223.64
  6. Step 6: Final answer
    x = 118,129.69

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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.