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Finding the Fourth Proportional to 52,123.80, 78,218.48 and 29,980.40

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Solution

The fourth proportional to 52,123.80, 78,218.48 and 29,980.40 is: 44,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.80 : 78,218.48 = 29,980.40 : x
  2. Step 2: Convert to fraction form
    52,123.80/78,218.48 = 29,980.40/x
  3. Step 3: Cross multiply
    52,123.80x = 78,218.48 × 29,980.40
  4. Step 4: Simplify right side
    52,123.80x = 2,345,021,317.79
  5. Step 5: Solve for x
    x = 2,345,021,317.79/52,123.80
  6. Step 6: Final answer
    x = 44,989.45

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1.5x scale

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.