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Finding the Fourth Proportional to 56,681.92, 78,224.16 and 31,530.88

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Solution

The fourth proportional to 56,681.92, 78,224.16 and 31,530.88 is: 43,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,681.92 : 78,224.16 = 31,530.88 : x
  2. Step 2: Convert to fraction form
    56,681.92/78,224.16 = 31,530.88/x
  3. Step 3: Cross multiply
    56,681.92x = 78,224.16 × 31,530.88
  4. Step 4: Simplify right side
    56,681.92x = 2,466,476,602.06
  5. Step 5: Solve for x
    x = 2,466,476,602.06/56,681.92
  6. Step 6: Final answer
    x = 43,514.34

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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.