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Finding the Fourth Proportional to 208,041.78, 287,094.85 and 116,162.49

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Solution

The fourth proportional to 208,041.78, 287,094.85 and 116,162.49 is: 160,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.78 : 287,094.85 = 116,162.49 : x
  2. Step 2: Convert to fraction form
    208,041.78/287,094.85 = 116,162.49/x
  3. Step 3: Cross multiply
    208,041.78x = 287,094.85 × 116,162.49
  4. Step 4: Simplify right side
    208,041.78x = 33,349,652,642.18
  5. Step 5: Solve for x
    x = 33,349,652,642.18/208,041.78
  6. Step 6: Final answer
    x = 160,302.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.