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Finding the Fourth Proportional to 102,330, 153,503.64 and 28,458

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Solution

The fourth proportional to 102,330, 153,503.64 and 28,458 is: 42,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330 : 153,503.64 = 28,458 : x
  2. Step 2: Convert to fraction form
    102,330/153,503.64 = 28,458/x
  3. Step 3: Cross multiply
    102,330x = 153,503.64 × 28,458
  4. Step 4: Simplify right side
    102,330x = 4,368,406,587.12
  5. Step 5: Solve for x
    x = 4,368,406,587.12/102,330
  6. Step 6: Final answer
    x = 42,689.40

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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.