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Finding the Fourth Proportional to 55,663.61, 83,495.21 and 13,543.20

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Solution

The fourth proportional to 55,663.61, 83,495.21 and 13,543.20 is: 20,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663.61 : 83,495.21 = 13,543.20 : x
  2. Step 2: Convert to fraction form
    55,663.61/83,495.21 = 13,543.20/x
  3. Step 3: Cross multiply
    55,663.61x = 83,495.21 × 13,543.20
  4. Step 4: Simplify right side
    55,663.61x = 1,130,792,260.36
  5. Step 5: Solve for x
    x = 1,130,792,260.36/55,663.61
  6. Step 6: Final answer
    x = 20,314.75

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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.