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Finding the Fourth Proportional to 102,313.10, 153,469.65 and 97,720.40

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Solution

The fourth proportional to 102,313.10, 153,469.65 and 97,720.40 is: 146,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,313.10 : 153,469.65 = 97,720.40 : x
  2. Step 2: Convert to fraction form
    102,313.10/153,469.65 = 97,720.40/x
  3. Step 3: Cross multiply
    102,313.10x = 153,469.65 × 97,720.40
  4. Step 4: Simplify right side
    102,313.10x = 14,997,115,585.86
  5. Step 5: Solve for x
    x = 14,997,115,585.86/102,313.10
  6. Step 6: Final answer
    x = 146,580.60

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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.