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Finding the Fourth Proportional to 83,004, 114,545.52 and 45,278.40

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Solution

The fourth proportional to 83,004, 114,545.52 and 45,278.40 is: 62,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,004 : 114,545.52 = 45,278.40 : x
  2. Step 2: Convert to fraction form
    83,004/114,545.52 = 45,278.40/x
  3. Step 3: Cross multiply
    83,004x = 114,545.52 × 45,278.40
  4. Step 4: Simplify right side
    83,004x = 5,186,437,872.77
  5. Step 5: Solve for x
    x = 5,186,437,872.77/83,004
  6. Step 6: Final answer
    x = 62,484.19

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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.