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Finding the Fourth Proportional to 77,785.58, 116,649.18 and 61,339.34

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Solution

The fourth proportional to 77,785.58, 116,649.18 and 61,339.34 is: 91,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785.58 : 116,649.18 = 61,339.34 : x
  2. Step 2: Convert to fraction form
    77,785.58/116,649.18 = 61,339.34/x
  3. Step 3: Cross multiply
    77,785.58x = 116,649.18 × 61,339.34
  4. Step 4: Simplify right side
    77,785.58x = 7,155,183,712.74
  5. Step 5: Solve for x
    x = 7,155,183,712.74/77,785.58
  6. Step 6: Final answer
    x = 91,985.99

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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.