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Finding the Fourth Proportional to 78,278.50, 108,024.65 and 42,468.77

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Solution

The fourth proportional to 78,278.50, 108,024.65 and 42,468.77 is: 58,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,278.50 : 108,024.65 = 42,468.77 : x
  2. Step 2: Convert to fraction form
    78,278.50/108,024.65 = 42,468.77/x
  3. Step 3: Cross multiply
    78,278.50x = 108,024.65 × 42,468.77
  4. Step 4: Simplify right side
    78,278.50x = 4,587,674,015.18
  5. Step 5: Solve for x
    x = 4,587,674,015.18/78,278.50
  6. Step 6: Final answer
    x = 58,607.08

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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.