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Finding the Fourth Proportional to 211,313.50, 316,969.80 and 53,541.52

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Solution

The fourth proportional to 211,313.50, 316,969.80 and 53,541.52 is: 80,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,313.50 : 316,969.80 = 53,541.52 : x
  2. Step 2: Convert to fraction form
    211,313.50/316,969.80 = 53,541.52/x
  3. Step 3: Cross multiply
    211,313.50x = 316,969.80 × 53,541.52
  4. Step 4: Simplify right side
    211,313.50x = 16,971,044,886.10
  5. Step 5: Solve for x
    x = 16,971,044,886.10/211,313.50
  6. Step 6: Final answer
    x = 80,312.17

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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.