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Finding the Fourth Proportional to 56,321.60, 77,715.12 and 32,443.60

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Solution

The fourth proportional to 56,321.60, 77,715.12 and 32,443.60 is: 44,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,321.60 : 77,715.12 = 32,443.60 : x
  2. Step 2: Convert to fraction form
    56,321.60/77,715.12 = 32,443.60/x
  3. Step 3: Cross multiply
    56,321.60x = 77,715.12 × 32,443.60
  4. Step 4: Simplify right side
    56,321.60x = 2,521,358,267.23
  5. Step 5: Solve for x
    x = 2,521,358,267.23/56,321.60
  6. Step 6: Final answer
    x = 44,767.16

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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.