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Finding the Fourth Proportional to 51,854.40, 77,666.40 and 42,638.40

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Solution

The fourth proportional to 51,854.40, 77,666.40 and 42,638.40 is: 63,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.40 : 77,666.40 = 42,638.40 : x
  2. Step 2: Convert to fraction form
    51,854.40/77,666.40 = 42,638.40/x
  3. Step 3: Cross multiply
    51,854.40x = 77,666.40 × 42,638.40
  4. Step 4: Simplify right side
    51,854.40x = 3,311,571,029.76
  5. Step 5: Solve for x
    x = 3,311,571,029.76/51,854.40
  6. Step 6: Final answer
    x = 63,862.87

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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.