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Finding the Fourth Proportional to 87,312.72, 130,895.04 and 31,135.92

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Solution

The fourth proportional to 87,312.72, 130,895.04 and 31,135.92 is: 46,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,312.72 : 130,895.04 = 31,135.92 : x
  2. Step 2: Convert to fraction form
    87,312.72/130,895.04 = 31,135.92/x
  3. Step 3: Cross multiply
    87,312.72x = 130,895.04 × 31,135.92
  4. Step 4: Simplify right side
    87,312.72x = 4,075,537,493.84
  5. Step 5: Solve for x
    x = 4,075,537,493.84/87,312.72
  6. Step 6: Final answer
    x = 46,677.48

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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.