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Finding the Fourth Proportional to 98,430.61, 147,669.42 and 31,870.80

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Solution

The fourth proportional to 98,430.61, 147,669.42 and 31,870.80 is: 47,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430.61 : 147,669.42 = 31,870.80 : x
  2. Step 2: Convert to fraction form
    98,430.61/147,669.42 = 31,870.80/x
  3. Step 3: Cross multiply
    98,430.61x = 147,669.42 × 31,870.80
  4. Step 4: Simplify right side
    98,430.61x = 4,706,342,391.58
  5. Step 5: Solve for x
    x = 4,706,342,391.58/98,430.61
  6. Step 6: Final answer
    x = 47,813.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.