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Finding the Fourth Proportional to 180,307.76, 248,803.12 and 99,724.40

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Solution

The fourth proportional to 180,307.76, 248,803.12 and 99,724.40 is: 137,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,307.76 : 248,803.12 = 99,724.40 : x
  2. Step 2: Convert to fraction form
    180,307.76/248,803.12 = 99,724.40/x
  3. Step 3: Cross multiply
    180,307.76x = 248,803.12 × 99,724.40
  4. Step 4: Simplify right side
    180,307.76x = 24,811,741,860.13
  5. Step 5: Solve for x
    x = 24,811,741,860.13/180,307.76
  6. Step 6: Final answer
    x = 137,607.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.