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Finding the Fourth Proportional to 102,653.40, 153,980.10 and 96,821.40

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Solution

The fourth proportional to 102,653.40, 153,980.10 and 96,821.40 is: 145,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.40 : 153,980.10 = 96,821.40 : x
  2. Step 2: Convert to fraction form
    102,653.40/153,980.10 = 96,821.40/x
  3. Step 3: Cross multiply
    102,653.40x = 153,980.10 × 96,821.40
  4. Step 4: Simplify right side
    102,653.40x = 14,908,568,854.14
  5. Step 5: Solve for x
    x = 14,908,568,854.14/102,653.40
  6. Step 6: Final answer
    x = 145,232.10

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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.