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Finding the Fourth Proportional to 115,842.80, 159,815.55 and 70,484.42

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Solution

The fourth proportional to 115,842.80, 159,815.55 and 70,484.42 is: 97,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,842.80 : 159,815.55 = 70,484.42 : x
  2. Step 2: Convert to fraction form
    115,842.80/159,815.55 = 70,484.42/x
  3. Step 3: Cross multiply
    115,842.80x = 159,815.55 × 70,484.42
  4. Step 4: Simplify right side
    115,842.80x = 11,264,506,413.28
  5. Step 5: Solve for x
    x = 11,264,506,413.28/115,842.80
  6. Step 6: Final answer
    x = 97,239.59

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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.