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Finding the Fourth Proportional to 202,951.50, 280,068.87 and 112,307.40

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Solution

The fourth proportional to 202,951.50, 280,068.87 and 112,307.40 is: 154,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.50 : 280,068.87 = 112,307.40 : x
  2. Step 2: Convert to fraction form
    202,951.50/280,068.87 = 112,307.40/x
  3. Step 3: Cross multiply
    202,951.50x = 280,068.87 × 112,307.40
  4. Step 4: Simplify right side
    202,951.50x = 31,453,807,031.79
  5. Step 5: Solve for x
    x = 31,453,807,031.79/202,951.50
  6. Step 6: Final answer
    x = 154,981.89

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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.