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Finding the Fourth Proportional to 117,467.68, 162,040.08 and 77,188

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Solution

The fourth proportional to 117,467.68, 162,040.08 and 77,188 is: 106,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,467.68 : 162,040.08 = 77,188 : x
  2. Step 2: Convert to fraction form
    117,467.68/162,040.08 = 77,188/x
  3. Step 3: Cross multiply
    117,467.68x = 162,040.08 × 77,188
  4. Step 4: Simplify right side
    117,467.68x = 12,507,549,695.04
  5. Step 5: Solve for x
    x = 12,507,549,695.04/117,467.68
  6. Step 6: Final answer
    x = 106,476.52

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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.