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Finding the Fourth Proportional to 102,353.30, 153,530.10 and 52,406.16

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Solution

The fourth proportional to 102,353.30, 153,530.10 and 52,406.16 is: 78,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,353.30 : 153,530.10 = 52,406.16 : x
  2. Step 2: Convert to fraction form
    102,353.30/153,530.10 = 52,406.16/x
  3. Step 3: Cross multiply
    102,353.30x = 153,530.10 × 52,406.16
  4. Step 4: Simplify right side
    102,353.30x = 8,045,922,985.42
  5. Step 5: Solve for x
    x = 8,045,922,985.42/102,353.30
  6. Step 6: Final answer
    x = 78,609.32

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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.