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Finding the Fourth Proportional to 120,307.50, 180,461.25 and 37,201.50

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Solution

The fourth proportional to 120,307.50, 180,461.25 and 37,201.50 is: 55,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.50 : 180,461.25 = 37,201.50 : x
  2. Step 2: Convert to fraction form
    120,307.50/180,461.25 = 37,201.50/x
  3. Step 3: Cross multiply
    120,307.50x = 180,461.25 × 37,201.50
  4. Step 4: Simplify right side
    120,307.50x = 6,713,429,191.88
  5. Step 5: Solve for x
    x = 6,713,429,191.88/120,307.50
  6. Step 6: Final answer
    x = 55,802.25

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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.