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Finding the Fourth Proportional to 140,488, 210,688.26 and 46,971.88

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Solution

The fourth proportional to 140,488, 210,688.26 and 46,971.88 is: 70,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,488 : 210,688.26 = 46,971.88 : x
  2. Step 2: Convert to fraction form
    140,488/210,688.26 = 46,971.88/x
  3. Step 3: Cross multiply
    140,488x = 210,688.26 × 46,971.88
  4. Step 4: Simplify right side
    140,488x = 9,896,423,666.13
  5. Step 5: Solve for x
    x = 9,896,423,666.13/140,488
  6. Step 6: Final answer
    x = 70,443.20

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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.