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Finding the Fourth Proportional to 157,188, 235,825.20 and 46,380

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Solution

The fourth proportional to 157,188, 235,825.20 and 46,380 is: 69,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188 : 235,825.20 = 46,380 : x
  2. Step 2: Convert to fraction form
    157,188/235,825.20 = 46,380/x
  3. Step 3: Cross multiply
    157,188x = 235,825.20 × 46,380
  4. Step 4: Simplify right side
    157,188x = 10,937,572,776
  5. Step 5: Solve for x
    x = 10,937,572,776/157,188
  6. Step 6: Final answer
    x = 69,582.75

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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.