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Finding the Fourth Proportional to 102,533.90, 153,822.45 and 43,339.10

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Solution

The fourth proportional to 102,533.90, 153,822.45 and 43,339.10 is: 65,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.90 : 153,822.45 = 43,339.10 : x
  2. Step 2: Convert to fraction form
    102,533.90/153,822.45 = 43,339.10/x
  3. Step 3: Cross multiply
    102,533.90x = 153,822.45 × 43,339.10
  4. Step 4: Simplify right side
    102,533.90x = 6,666,526,542.80
  5. Step 5: Solve for x
    x = 6,666,526,542.80/102,533.90
  6. Step 6: Final answer
    x = 65,017.78

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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.