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Finding the Fourth Proportional to 51,430.01, 77,074.95 and 31,446.50

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Solution

The fourth proportional to 51,430.01, 77,074.95 and 31,446.50 is: 47,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.01 : 77,074.95 = 31,446.50 : x
  2. Step 2: Convert to fraction form
    51,430.01/77,074.95 = 31,446.50/x
  3. Step 3: Cross multiply
    51,430.01x = 77,074.95 × 31,446.50
  4. Step 4: Simplify right side
    51,430.01x = 2,423,737,415.18
  5. Step 5: Solve for x
    x = 2,423,737,415.18/51,430.01
  6. Step 6: Final answer
    x = 47,126.91

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