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Finding the Fourth Proportional to 102,071.65, 140,866.76 and 61,237.31

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Solution

The fourth proportional to 102,071.65, 140,866.76 and 61,237.31 is: 84,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.65 : 140,866.76 = 61,237.31 : x
  2. Step 2: Convert to fraction form
    102,071.65/140,866.76 = 61,237.31/x
  3. Step 3: Cross multiply
    102,071.65x = 140,866.76 × 61,237.31
  4. Step 4: Simplify right side
    102,071.65x = 8,626,300,440.30
  5. Step 5: Solve for x
    x = 8,626,300,440.30/102,071.65
  6. Step 6: Final answer
    x = 84,512.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.