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Finding the Fourth Proportional to 102,157.12, 153,182.48 and 45,948.48

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Solution

The fourth proportional to 102,157.12, 153,182.48 and 45,948.48 is: 68,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.12 : 153,182.48 = 45,948.48 : x
  2. Step 2: Convert to fraction form
    102,157.12/153,182.48 = 45,948.48/x
  3. Step 3: Cross multiply
    102,157.12x = 153,182.48 × 45,948.48
  4. Step 4: Simplify right side
    102,157.12x = 7,038,502,118.63
  5. Step 5: Solve for x
    x = 7,038,502,118.63/102,157.12
  6. Step 6: Final answer
    x = 68,898.79

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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.