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Finding the Fourth Proportional to 159,027.65, 219,459.86 and 86,430.55

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Solution

The fourth proportional to 159,027.65, 219,459.86 and 86,430.55 is: 119,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,027.65 : 219,459.86 = 86,430.55 : x
  2. Step 2: Convert to fraction form
    159,027.65/219,459.86 = 86,430.55/x
  3. Step 3: Cross multiply
    159,027.65x = 219,459.86 × 86,430.55
  4. Step 4: Simplify right side
    159,027.65x = 18,968,036,402.72
  5. Step 5: Solve for x
    x = 18,968,036,402.72/159,027.65
  6. Step 6: Final answer
    x = 119,275.08

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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.