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Finding the Fourth Proportional to 102,405.20, 153,607.80 and 70,912.40

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Solution

The fourth proportional to 102,405.20, 153,607.80 and 70,912.40 is: 106,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.20 : 153,607.80 = 70,912.40 : x
  2. Step 2: Convert to fraction form
    102,405.20/153,607.80 = 70,912.40/x
  3. Step 3: Cross multiply
    102,405.20x = 153,607.80 × 70,912.40
  4. Step 4: Simplify right side
    102,405.20x = 10,892,697,756.72
  5. Step 5: Solve for x
    x = 10,892,697,756.72/102,405.20
  6. Step 6: Final answer
    x = 106,368.60

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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.