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Finding the Fourth Proportional to 87,642.16, 120,952.51 and 49,916.40

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Solution

The fourth proportional to 87,642.16, 120,952.51 and 49,916.40 is: 68,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642.16 : 120,952.51 = 49,916.40 : x
  2. Step 2: Convert to fraction form
    87,642.16/120,952.51 = 49,916.40/x
  3. Step 3: Cross multiply
    87,642.16x = 120,952.51 × 49,916.40
  4. Step 4: Simplify right side
    87,642.16x = 6,037,513,870.16
  5. Step 5: Solve for x
    x = 6,037,513,870.16/87,642.16
  6. Step 6: Final answer
    x = 68,888.24

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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.