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Finding the Fourth Proportional to 78,322.95, 108,085.75 and 42,512.95

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Solution

The fourth proportional to 78,322.95, 108,085.75 and 42,512.95 is: 58,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322.95 : 108,085.75 = 42,512.95 : x
  2. Step 2: Convert to fraction form
    78,322.95/108,085.75 = 42,512.95/x
  3. Step 3: Cross multiply
    78,322.95x = 108,085.75 × 42,512.95
  4. Step 4: Simplify right side
    78,322.95x = 4,595,044,191.74
  5. Step 5: Solve for x
    x = 4,595,044,191.74/78,322.95
  6. Step 6: Final answer
    x = 58,667.92

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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.