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Finding the Fourth Proportional to 77,689.58, 116,007.38 and 61,715.30

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Solution

The fourth proportional to 77,689.58, 116,007.38 and 61,715.30 is: 92,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.58 : 116,007.38 = 61,715.30 : x
  2. Step 2: Convert to fraction form
    77,689.58/116,007.38 = 61,715.30/x
  3. Step 3: Cross multiply
    77,689.58x = 116,007.38 × 61,715.30
  4. Step 4: Simplify right side
    77,689.58x = 7,159,430,258.91
  5. Step 5: Solve for x
    x = 7,159,430,258.91/77,689.58
  6. Step 6: Final answer
    x = 92,154.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.