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Finding the Fourth Proportional to 78,029.71, 107,681.50 and 45,757.76

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Solution

The fourth proportional to 78,029.71, 107,681.50 and 45,757.76 is: 63,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,029.71 : 107,681.50 = 45,757.76 : x
  2. Step 2: Convert to fraction form
    78,029.71/107,681.50 = 45,757.76/x
  3. Step 3: Cross multiply
    78,029.71x = 107,681.50 × 45,757.76
  4. Step 4: Simplify right side
    78,029.71x = 4,927,263,752.23
  5. Step 5: Solve for x
    x = 4,927,263,752.23/78,029.71
  6. Step 6: Final answer
    x = 63,146.00

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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.