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Finding the Fourth Proportional to 140,547.93, 210,808.17 and 77,347.28

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Solution

The fourth proportional to 140,547.93, 210,808.17 and 77,347.28 is: 116,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,547.93 : 210,808.17 = 77,347.28 : x
  2. Step 2: Convert to fraction form
    140,547.93/210,808.17 = 77,347.28/x
  3. Step 3: Cross multiply
    140,547.93x = 210,808.17 × 77,347.28
  4. Step 4: Simplify right side
    140,547.93x = 16,305,437,497.24
  5. Step 5: Solve for x
    x = 16,305,437,497.24/140,547.93
  6. Step 6: Final answer
    x = 116,013.36

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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.