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Finding the Fourth Proportional to 210,064.16, 315,004.08 and 78,644

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Solution

The fourth proportional to 210,064.16, 315,004.08 and 78,644 is: 117,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,064.16 : 315,004.08 = 78,644 : x
  2. Step 2: Convert to fraction form
    210,064.16/315,004.08 = 78,644/x
  3. Step 3: Cross multiply
    210,064.16x = 315,004.08 × 78,644
  4. Step 4: Simplify right side
    210,064.16x = 24,773,180,867.52
  5. Step 5: Solve for x
    x = 24,773,180,867.52/210,064.16
  6. Step 6: Final answer
    x = 117,931.50

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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.