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Finding the Fourth Proportional to 78,008.50, 107,607.99 and 47,808.46

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Solution

The fourth proportional to 78,008.50, 107,607.99 and 47,808.46 is: 65,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008.50 : 107,607.99 = 47,808.46 : x
  2. Step 2: Convert to fraction form
    78,008.50/107,607.99 = 47,808.46/x
  3. Step 3: Cross multiply
    78,008.50x = 107,607.99 × 47,808.46
  4. Step 4: Simplify right side
    78,008.50x = 5,144,572,285.60
  5. Step 5: Solve for x
    x = 5,144,572,285.60/78,008.50
  6. Step 6: Final answer
    x = 65,948.87

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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.