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Finding the Fourth Proportional to 210,678.69, 315,870.48 and 77,541.69

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Solution

The fourth proportional to 210,678.69, 315,870.48 and 77,541.69 is: 116,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,678.69 : 315,870.48 = 77,541.69 : x
  2. Step 2: Convert to fraction form
    210,678.69/315,870.48 = 77,541.69/x
  3. Step 3: Cross multiply
    210,678.69x = 315,870.48 × 77,541.69
  4. Step 4: Simplify right side
    210,678.69x = 24,493,130,840.31
  5. Step 5: Solve for x
    x = 24,493,130,840.31/210,678.69
  6. Step 6: Final answer
    x = 116,258.23

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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.