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Finding the Fourth Proportional to 155,307.94, 232,967.07 and 42,978.76

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Solution

The fourth proportional to 155,307.94, 232,967.07 and 42,978.76 is: 64,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,307.94 : 232,967.07 = 42,978.76 : x
  2. Step 2: Convert to fraction form
    155,307.94/232,967.07 = 42,978.76/x
  3. Step 3: Cross multiply
    155,307.94x = 232,967.07 × 42,978.76
  4. Step 4: Simplify right side
    155,307.94x = 10,012,635,207.02
  5. Step 5: Solve for x
    x = 10,012,635,207.02/155,307.94
  6. Step 6: Final answer
    x = 64,469.57

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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.