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Finding the Fourth Proportional to 210,677.77, 316,048.16 and 77,547.89

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Solution

The fourth proportional to 210,677.77, 316,048.16 and 77,547.89 is: 116,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,677.77 : 316,048.16 = 77,547.89 : x
  2. Step 2: Convert to fraction form
    210,677.77/316,048.16 = 77,547.89/x
  3. Step 3: Cross multiply
    210,677.77x = 316,048.16 × 77,547.89
  4. Step 4: Simplify right side
    210,677.77x = 24,508,866,560.01
  5. Step 5: Solve for x
    x = 24,508,866,560.01/210,677.77
  6. Step 6: Final answer
    x = 116,333.43

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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.