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Finding the Fourth Proportional to 78,011.65, 107,655.75 and 42,201.57

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Solution

The fourth proportional to 78,011.65, 107,655.75 and 42,201.57 is: 58,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011.65 : 107,655.75 = 42,201.57 : x
  2. Step 2: Convert to fraction form
    78,011.65/107,655.75 = 42,201.57/x
  3. Step 3: Cross multiply
    78,011.65x = 107,655.75 × 42,201.57
  4. Step 4: Simplify right side
    78,011.65x = 4,543,241,669.53
  5. Step 5: Solve for x
    x = 4,543,241,669.53/78,011.65
  6. Step 6: Final answer
    x = 58,237.99

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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.