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Finding the Fourth Proportional to 102,557.40, 153,860.40 and 52,645.20

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Solution

The fourth proportional to 102,557.40, 153,860.40 and 52,645.20 is: 78,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.40 : 153,860.40 = 52,645.20 : x
  2. Step 2: Convert to fraction form
    102,557.40/153,860.40 = 52,645.20/x
  3. Step 3: Cross multiply
    102,557.40x = 153,860.40 × 52,645.20
  4. Step 4: Simplify right side
    102,557.40x = 8,100,011,530.08
  5. Step 5: Solve for x
    x = 8,100,011,530.08/102,557.40
  6. Step 6: Final answer
    x = 78,980.27

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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.