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Finding the Fourth Proportional to 102,534.72, 153,802.80 and 28,662.72

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Solution

The fourth proportional to 102,534.72, 153,802.80 and 28,662.72 is: 42,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.72 : 153,802.80 = 28,662.72 : x
  2. Step 2: Convert to fraction form
    102,534.72/153,802.80 = 28,662.72/x
  3. Step 3: Cross multiply
    102,534.72x = 153,802.80 × 28,662.72
  4. Step 4: Simplify right side
    102,534.72x = 4,408,406,591.62
  5. Step 5: Solve for x
    x = 4,408,406,591.62/102,534.72
  6. Step 6: Final answer
    x = 42,994.28

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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.