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Finding the Fourth Proportional to 76,322.40, 105,324.84 and 42,788.40

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Solution

The fourth proportional to 76,322.40, 105,324.84 and 42,788.40 is: 59,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.40 : 105,324.84 = 42,788.40 : x
  2. Step 2: Convert to fraction form
    76,322.40/105,324.84 = 42,788.40/x
  3. Step 3: Cross multiply
    76,322.40x = 105,324.84 × 42,788.40
  4. Step 4: Simplify right side
    76,322.40x = 4,506,681,383.86
  5. Step 5: Solve for x
    x = 4,506,681,383.86/76,322.40
  6. Step 6: Final answer
    x = 59,047.95

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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.