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Finding the Fourth Proportional to 210,060.16, 314,998.08 and 78,640

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Solution

The fourth proportional to 210,060.16, 314,998.08 and 78,640 is: 117,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,060.16 : 314,998.08 = 78,640 : x
  2. Step 2: Convert to fraction form
    210,060.16/314,998.08 = 78,640/x
  3. Step 3: Cross multiply
    210,060.16x = 314,998.08 × 78,640
  4. Step 4: Simplify right side
    210,060.16x = 24,771,449,011.20
  5. Step 5: Solve for x
    x = 24,771,449,011.20/210,060.16
  6. Step 6: Final answer
    x = 117,925.50

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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.