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Finding the Fourth Proportional to 157,113.60, 235,530.72 and 57,255

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Solution

The fourth proportional to 157,113.60, 235,530.72 and 57,255 is: 85,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.60 : 235,530.72 = 57,255 : x
  2. Step 2: Convert to fraction form
    157,113.60/235,530.72 = 57,255/x
  3. Step 3: Cross multiply
    157,113.60x = 235,530.72 × 57,255
  4. Step 4: Simplify right side
    157,113.60x = 13,485,311,373.60
  5. Step 5: Solve for x
    x = 13,485,311,373.60/157,113.60
  6. Step 6: Final answer
    x = 85,831.60

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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.