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Finding the Fourth Proportional to 98,812.64, 148,063.64 and 76,378.23

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Solution

The fourth proportional to 98,812.64, 148,063.64 and 76,378.23 is: 114,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,812.64 : 148,063.64 = 76,378.23 : x
  2. Step 2: Convert to fraction form
    98,812.64/148,063.64 = 76,378.23/x
  3. Step 3: Cross multiply
    98,812.64x = 148,063.64 × 76,378.23
  4. Step 4: Simplify right side
    98,812.64x = 11,308,838,368.67
  5. Step 5: Solve for x
    x = 11,308,838,368.67/98,812.64
  6. Step 6: Final answer
    x = 114,447.29

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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.