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Finding the Fourth Proportional to 77,990.40, 117,007.20 and 51,746.40

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Solution

The fourth proportional to 77,990.40, 117,007.20 and 51,746.40 is: 77,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990.40 : 117,007.20 = 51,746.40 : x
  2. Step 2: Convert to fraction form
    77,990.40/117,007.20 = 51,746.40/x
  3. Step 3: Cross multiply
    77,990.40x = 117,007.20 × 51,746.40
  4. Step 4: Simplify right side
    77,990.40x = 6,054,701,374.08
  5. Step 5: Solve for x
    x = 6,054,701,374.08/77,990.40
  6. Step 6: Final answer
    x = 77,633.93

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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.