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Finding the Fourth Proportional to 102,539.40, 153,809.10 and 77,656.20

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Solution

The fourth proportional to 102,539.40, 153,809.10 and 77,656.20 is: 116,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.40 : 153,809.10 = 77,656.20 : x
  2. Step 2: Convert to fraction form
    102,539.40/153,809.10 = 77,656.20/x
  3. Step 3: Cross multiply
    102,539.40x = 153,809.10 × 77,656.20
  4. Step 4: Simplify right side
    102,539.40x = 11,944,230,231.42
  5. Step 5: Solve for x
    x = 11,944,230,231.42/102,539.40
  6. Step 6: Final answer
    x = 116,484.30

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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.