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Finding the Fourth Proportional to 211,230, 316,845 and 70,988.63

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Solution

The fourth proportional to 211,230, 316,845 and 70,988.63 is: 106,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,230 : 316,845 = 70,988.63 : x
  2. Step 2: Convert to fraction form
    211,230/316,845 = 70,988.63/x
  3. Step 3: Cross multiply
    211,230x = 316,845 × 70,988.63
  4. Step 4: Simplify right side
    211,230x = 22,492,390,888.13
  5. Step 5: Solve for x
    x = 22,492,390,888.13/211,230
  6. Step 6: Final answer
    x = 106,482.94

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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.