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Finding the Fourth Proportional to 77,039.40, 115,569.90 and 30,281.40

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Solution

The fourth proportional to 77,039.40, 115,569.90 and 30,281.40 is: 45,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,039.40 : 115,569.90 = 30,281.40 : x
  2. Step 2: Convert to fraction form
    77,039.40/115,569.90 = 30,281.40/x
  3. Step 3: Cross multiply
    77,039.40x = 115,569.90 × 30,281.40
  4. Step 4: Simplify right side
    77,039.40x = 3,499,618,369.86
  5. Step 5: Solve for x
    x = 3,499,618,369.86/77,039.40
  6. Step 6: Final answer
    x = 45,426.35

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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.