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Finding the Fourth Proportional to 210,701.74, 315,904.76 and 77,564.93

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Solution

The fourth proportional to 210,701.74, 315,904.76 and 77,564.93 is: 116,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,701.74 : 315,904.76 = 77,564.93 : x
  2. Step 2: Convert to fraction form
    210,701.74/315,904.76 = 77,564.93/x
  3. Step 3: Cross multiply
    210,701.74x = 315,904.76 × 77,564.93
  4. Step 4: Simplify right side
    210,701.74x = 24,503,128,919.59
  5. Step 5: Solve for x
    x = 24,503,128,919.59/210,701.74
  6. Step 6: Final answer
    x = 116,292.96

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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.