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Finding the Fourth Proportional to 102,904.70, 154,270.65 and 53,656.70

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Solution

The fourth proportional to 102,904.70, 154,270.65 and 53,656.70 is: 80,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904.70 : 154,270.65 = 53,656.70 : x
  2. Step 2: Convert to fraction form
    102,904.70/154,270.65 = 53,656.70/x
  3. Step 3: Cross multiply
    102,904.70x = 154,270.65 × 53,656.70
  4. Step 4: Simplify right side
    102,904.70x = 8,277,653,985.86
  5. Step 5: Solve for x
    x = 8,277,653,985.86/102,904.70
  6. Step 6: Final answer
    x = 80,440.00

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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.