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Finding the Fourth Proportional to 151,762.95, 209,434.56 and 83,779.95

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Solution

The fourth proportional to 151,762.95, 209,434.56 and 83,779.95 is: 115,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762.95 : 209,434.56 = 83,779.95 : x
  2. Step 2: Convert to fraction form
    151,762.95/209,434.56 = 83,779.95/x
  3. Step 3: Cross multiply
    151,762.95x = 209,434.56 × 83,779.95
  4. Step 4: Simplify right side
    151,762.95x = 17,546,417,279.21
  5. Step 5: Solve for x
    x = 17,546,417,279.21/151,762.95
  6. Step 6: Final answer
    x = 115,617.27

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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.