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Finding the Fourth Proportional to 85,472.16, 128,209.89 and 26,307.78

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Solution

The fourth proportional to 85,472.16, 128,209.89 and 26,307.78 is: 39,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,472.16 : 128,209.89 = 26,307.78 : x
  2. Step 2: Convert to fraction form
    85,472.16/128,209.89 = 26,307.78/x
  3. Step 3: Cross multiply
    85,472.16x = 128,209.89 × 26,307.78
  4. Step 4: Simplify right side
    85,472.16x = 3,372,917,197.81
  5. Step 5: Solve for x
    x = 3,372,917,197.81/85,472.16
  6. Step 6: Final answer
    x = 39,462.18

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1.5x scale

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.