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Finding the Fourth Proportional to 56,983.50, 85,477.68 and 15,430.50

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Solution

The fourth proportional to 56,983.50, 85,477.68 and 15,430.50 is: 23,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,983.50 : 85,477.68 = 15,430.50 : x
  2. Step 2: Convert to fraction form
    56,983.50/85,477.68 = 15,430.50/x
  3. Step 3: Cross multiply
    56,983.50x = 85,477.68 × 15,430.50
  4. Step 4: Simplify right side
    56,983.50x = 1,318,963,341.24
  5. Step 5: Solve for x
    x = 1,318,963,341.24/56,983.50
  6. Step 6: Final answer
    x = 23,146.41

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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.