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Finding the Fourth Proportional to 56,661.84, 78,189.72 and 31,511.76

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Solution

The fourth proportional to 56,661.84, 78,189.72 and 31,511.76 is: 43,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,661.84 : 78,189.72 = 31,511.76 : x
  2. Step 2: Convert to fraction form
    56,661.84/78,189.72 = 31,511.76/x
  3. Step 3: Cross multiply
    56,661.84x = 78,189.72 × 31,511.76
  4. Step 4: Simplify right side
    56,661.84x = 2,463,895,691.11
  5. Step 5: Solve for x
    x = 2,463,895,691.11/56,661.84
  6. Step 6: Final answer
    x = 43,484.22

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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.