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Finding the Fourth Proportional to 102,814.60, 154,106.70 and 52,875.40

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Solution

The fourth proportional to 102,814.60, 154,106.70 and 52,875.40 is: 79,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.60 : 154,106.70 = 52,875.40 : x
  2. Step 2: Convert to fraction form
    102,814.60/154,106.70 = 52,875.40/x
  3. Step 3: Cross multiply
    102,814.60x = 154,106.70 × 52,875.40
  4. Step 4: Simplify right side
    102,814.60x = 8,148,453,405.18
  5. Step 5: Solve for x
    x = 8,148,453,405.18/102,814.60
  6. Step 6: Final answer
    x = 79,253.86

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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.