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Finding the Fourth Proportional to 210,866.98, 316,316.68 and 61,109.32

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Solution

The fourth proportional to 210,866.98, 316,316.68 and 61,109.32 is: 91,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,866.98 : 316,316.68 = 61,109.32 : x
  2. Step 2: Convert to fraction form
    210,866.98/316,316.68 = 61,109.32/x
  3. Step 3: Cross multiply
    210,866.98x = 316,316.68 × 61,109.32
  4. Step 4: Simplify right side
    210,866.98x = 19,329,897,219.46
  5. Step 5: Solve for x
    x = 19,329,897,219.46/210,866.98
  6. Step 6: Final answer
    x = 91,668.68

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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.