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Finding the Fourth Proportional to 145,871.80, 218,807.70 and 116,347.30

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Solution

The fourth proportional to 145,871.80, 218,807.70 and 116,347.30 is: 174,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.80 : 218,807.70 = 116,347.30 : x
  2. Step 2: Convert to fraction form
    145,871.80/218,807.70 = 116,347.30/x
  3. Step 3: Cross multiply
    145,871.80x = 218,807.70 × 116,347.30
  4. Step 4: Simplify right side
    145,871.80x = 25,457,685,114.21
  5. Step 5: Solve for x
    x = 25,457,685,114.21/145,871.80
  6. Step 6: Final answer
    x = 174,520.95

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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.