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Finding the Fourth Proportional to 102,653.80, 153,980.70 and 97,842.40

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Solution

The fourth proportional to 102,653.80, 153,980.70 and 97,842.40 is: 146,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.80 : 153,980.70 = 97,842.40 : x
  2. Step 2: Convert to fraction form
    102,653.80/153,980.70 = 97,842.40/x
  3. Step 3: Cross multiply
    102,653.80x = 153,980.70 × 97,842.40
  4. Step 4: Simplify right side
    102,653.80x = 15,065,841,241.68
  5. Step 5: Solve for x
    x = 15,065,841,241.68/102,653.80
  6. Step 6: Final answer
    x = 146,763.60

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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.