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Finding the Fourth Proportional to 117,762.78, 162,509.16 and 66,780.15

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Solution

The fourth proportional to 117,762.78, 162,509.16 and 66,780.15 is: 92,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762.78 : 162,509.16 = 66,780.15 : x
  2. Step 2: Convert to fraction form
    117,762.78/162,509.16 = 66,780.15/x
  3. Step 3: Cross multiply
    117,762.78x = 162,509.16 × 66,780.15
  4. Step 4: Simplify right side
    117,762.78x = 10,852,386,081.17
  5. Step 5: Solve for x
    x = 10,852,386,081.17/117,762.78
  6. Step 6: Final answer
    x = 92,154.64

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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.