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Finding the Fourth Proportional to 151,461.01, 209,020.40 and 86,935.78

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Solution

The fourth proportional to 151,461.01, 209,020.40 and 86,935.78 is: 119,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,461.01 : 209,020.40 = 86,935.78 : x
  2. Step 2: Convert to fraction form
    151,461.01/209,020.40 = 86,935.78/x
  3. Step 3: Cross multiply
    151,461.01x = 209,020.40 × 86,935.78
  4. Step 4: Simplify right side
    151,461.01x = 18,171,351,075.23
  5. Step 5: Solve for x
    x = 18,171,351,075.23/151,461.01
  6. Step 6: Final answer
    x = 119,973.79

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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.