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Finding the Fourth Proportional to 151,762.20, 209,430.69 and 83,779.20

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Solution

The fourth proportional to 151,762.20, 209,430.69 and 83,779.20 is: 115,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762.20 : 209,430.69 = 83,779.20 : x
  2. Step 2: Convert to fraction form
    151,762.20/209,430.69 = 83,779.20/x
  3. Step 3: Cross multiply
    151,762.20x = 209,430.69 × 83,779.20
  4. Step 4: Simplify right side
    151,762.20x = 17,545,935,663.65
  5. Step 5: Solve for x
    x = 17,545,935,663.65/151,762.20
  6. Step 6: Final answer
    x = 115,614.66

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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.