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Finding the Fourth Proportional to 102,532.80, 153,820.80 and 40,203.12

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Solution

The fourth proportional to 102,532.80, 153,820.80 and 40,203.12 is: 60,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.80 : 153,820.80 = 40,203.12 : x
  2. Step 2: Convert to fraction form
    102,532.80/153,820.80 = 40,203.12/x
  3. Step 3: Cross multiply
    102,532.80x = 153,820.80 × 40,203.12
  4. Step 4: Simplify right side
    102,532.80x = 6,184,076,080.90
  5. Step 5: Solve for x
    x = 6,184,076,080.90/102,532.80
  6. Step 6: Final answer
    x = 60,313.15

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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.