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Finding the Fourth Proportional to 157,308.66, 235,820.39 and 78,447.06

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Solution

The fourth proportional to 157,308.66, 235,820.39 and 78,447.06 is: 117,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,308.66 : 235,820.39 = 78,447.06 : x
  2. Step 2: Convert to fraction form
    157,308.66/235,820.39 = 78,447.06/x
  3. Step 3: Cross multiply
    157,308.66x = 235,820.39 × 78,447.06
  4. Step 4: Simplify right side
    157,308.66x = 18,499,416,283.55
  5. Step 5: Solve for x
    x = 18,499,416,283.55/157,308.66
  6. Step 6: Final answer
    x = 117,599.48

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1.5x scale

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.