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Finding the Fourth Proportional to 145,871.16, 218,806.74 and 40,689.96

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Solution

The fourth proportional to 145,871.16, 218,806.74 and 40,689.96 is: 61,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.16 : 218,806.74 = 40,689.96 : x
  2. Step 2: Convert to fraction form
    145,871.16/218,806.74 = 40,689.96/x
  3. Step 3: Cross multiply
    145,871.16x = 218,806.74 × 40,689.96
  4. Step 4: Simplify right side
    145,871.16x = 8,903,237,498.33
  5. Step 5: Solve for x
    x = 8,903,237,498.33/145,871.16
  6. Step 6: Final answer
    x = 61,034.94

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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.