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Finding the Fourth Proportional to 145,866.20, 218,836.20 and 40,685.16

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Solution

The fourth proportional to 145,866.20, 218,836.20 and 40,685.16 is: 61,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.20 : 218,836.20 = 40,685.16 : x
  2. Step 2: Convert to fraction form
    145,866.20/218,836.20 = 40,685.16/x
  3. Step 3: Cross multiply
    145,866.20x = 218,836.20 × 40,685.16
  4. Step 4: Simplify right side
    145,866.20x = 8,903,385,810.79
  5. Step 5: Solve for x
    x = 8,903,385,810.79/145,866.20
  6. Step 6: Final answer
    x = 61,038.03

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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.