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Finding the Fourth Proportional to 145,862.19, 218,830.20 and 40,681.16

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Solution

The fourth proportional to 145,862.19, 218,830.20 and 40,681.16 is: 61,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862.19 : 218,830.20 = 40,681.16 : x
  2. Step 2: Convert to fraction form
    145,862.19/218,830.20 = 40,681.16/x
  3. Step 3: Cross multiply
    145,862.19x = 218,830.20 × 40,681.16
  4. Step 4: Simplify right side
    145,862.19x = 8,902,266,379.03
  5. Step 5: Solve for x
    x = 8,902,266,379.03/145,862.19
  6. Step 6: Final answer
    x = 61,032.04

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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.