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Finding the Fourth Proportional to 157,188.70, 235,319.73 and 103,782.70

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Solution

The fourth proportional to 157,188.70, 235,319.73 and 103,782.70 is: 155,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188.70 : 235,319.73 = 103,782.70 : x
  2. Step 2: Convert to fraction form
    157,188.70/235,319.73 = 103,782.70/x
  3. Step 3: Cross multiply
    157,188.70x = 235,319.73 × 103,782.70
  4. Step 4: Simplify right side
    157,188.70x = 24,422,116,942.67
  5. Step 5: Solve for x
    x = 24,422,116,942.67/157,188.70
  6. Step 6: Final answer
    x = 155,368.15

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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.