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Finding the Fourth Proportional to 117,316.32, 161,854.08 and 77,051.90

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Solution

The fourth proportional to 117,316.32, 161,854.08 and 77,051.90 is: 106,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316.32 : 161,854.08 = 77,051.90 : x
  2. Step 2: Convert to fraction form
    117,316.32/161,854.08 = 77,051.90/x
  3. Step 3: Cross multiply
    117,316.32x = 161,854.08 × 77,051.90
  4. Step 4: Simplify right side
    117,316.32x = 12,471,164,386.75
  5. Step 5: Solve for x
    x = 12,471,164,386.75/117,316.32
  6. Step 6: Final answer
    x = 106,303.75

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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.