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Finding the Fourth Proportional to 102,188.46, 153,313.90 and 52,303.90

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Solution

The fourth proportional to 102,188.46, 153,313.90 and 52,303.90 is: 78,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.46 : 153,313.90 = 52,303.90 : x
  2. Step 2: Convert to fraction form
    102,188.46/153,313.90 = 52,303.90/x
  3. Step 3: Cross multiply
    102,188.46x = 153,313.90 × 52,303.90
  4. Step 4: Simplify right side
    102,188.46x = 8,018,915,319.48
  5. Step 5: Solve for x
    x = 8,018,915,319.48/102,188.46
  6. Step 6: Final answer
    x = 78,471.83

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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.