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Finding the Fourth Proportional to 159,089.51, 219,547.86 and 86,497.31

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Solution

The fourth proportional to 159,089.51, 219,547.86 and 86,497.31 is: 119,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089.51 : 219,547.86 = 86,497.31 : x
  2. Step 2: Convert to fraction form
    159,089.51/219,547.86 = 86,497.31/x
  3. Step 3: Cross multiply
    159,089.51x = 219,547.86 × 86,497.31
  4. Step 4: Simplify right side
    159,089.51x = 18,990,299,306.26
  5. Step 5: Solve for x
    x = 18,990,299,306.26/159,089.51
  6. Step 6: Final answer
    x = 119,368.65

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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.