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Finding the Fourth Proportional to 78,430.98, 108,238.90 and 44,446.06

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Solution

The fourth proportional to 78,430.98, 108,238.90 and 44,446.06 is: 61,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,430.98 : 108,238.90 = 44,446.06 : x
  2. Step 2: Convert to fraction form
    78,430.98/108,238.90 = 44,446.06/x
  3. Step 3: Cross multiply
    78,430.98x = 108,238.90 × 44,446.06
  4. Step 4: Simplify right side
    78,430.98x = 4,810,792,643.73
  5. Step 5: Solve for x
    x = 4,810,792,643.73/78,430.98
  6. Step 6: Final answer
    x = 61,337.91

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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.