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Finding the Fourth Proportional to 56,897.76, 78,509.52 and 31,747.20

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Solution

The fourth proportional to 56,897.76, 78,509.52 and 31,747.20 is: 43,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,897.76 : 78,509.52 = 31,747.20 : x
  2. Step 2: Convert to fraction form
    56,897.76/78,509.52 = 31,747.20/x
  3. Step 3: Cross multiply
    56,897.76x = 78,509.52 × 31,747.20
  4. Step 4: Simplify right side
    56,897.76x = 2,492,457,433.34
  5. Step 5: Solve for x
    x = 2,492,457,433.34/56,897.76
  6. Step 6: Final answer
    x = 43,805.90

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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.