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Finding the Fourth Proportional to 159,281.65, 219,804.64 and 86,681.46

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Solution

The fourth proportional to 159,281.65, 219,804.64 and 86,681.46 is: 119,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,281.65 : 219,804.64 = 86,681.46 : x
  2. Step 2: Convert to fraction form
    159,281.65/219,804.64 = 86,681.46/x
  3. Step 3: Cross multiply
    159,281.65x = 219,804.64 × 86,681.46
  4. Step 4: Simplify right side
    159,281.65x = 19,052,987,109.97
  5. Step 5: Solve for x
    x = 19,052,987,109.97/159,281.65
  6. Step 6: Final answer
    x = 119,618.22

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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.