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Finding the Fourth Proportional to 210,909.72, 316,341.18 and 53,138.16

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Solution

The fourth proportional to 210,909.72, 316,341.18 and 53,138.16 is: 79,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,909.72 : 316,341.18 = 53,138.16 : x
  2. Step 2: Convert to fraction form
    210,909.72/316,341.18 = 53,138.16/x
  3. Step 3: Cross multiply
    210,909.72x = 316,341.18 × 53,138.16
  4. Step 4: Simplify right side
    210,909.72x = 16,809,788,237.43
  5. Step 5: Solve for x
    x = 16,809,788,237.43/210,909.72
  6. Step 6: Final answer
    x = 79,701.34

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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.