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Finding the Fourth Proportional to 102,307.20, 153,460.80 and 70,814.40

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Solution

The fourth proportional to 102,307.20, 153,460.80 and 70,814.40 is: 106,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,307.20 : 153,460.80 = 70,814.40 : x
  2. Step 2: Convert to fraction form
    102,307.20/153,460.80 = 70,814.40/x
  3. Step 3: Cross multiply
    102,307.20x = 153,460.80 × 70,814.40
  4. Step 4: Simplify right side
    102,307.20x = 10,867,234,475.52
  5. Step 5: Solve for x
    x = 10,867,234,475.52/102,307.20
  6. Step 6: Final answer
    x = 106,221.60

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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.