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Finding the Fourth Proportional to 210,629.78, 315,987.02 and 77,510.74

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Solution

The fourth proportional to 210,629.78, 315,987.02 and 77,510.74 is: 116,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,629.78 : 315,987.02 = 77,510.74 : x
  2. Step 2: Convert to fraction form
    210,629.78/315,987.02 = 77,510.74/x
  3. Step 3: Cross multiply
    210,629.78x = 315,987.02 × 77,510.74
  4. Step 4: Simplify right side
    210,629.78x = 24,492,387,750.59
  5. Step 5: Solve for x
    x = 24,492,387,750.59/210,629.78
  6. Step 6: Final answer
    x = 116,281.69

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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.