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Finding the Fourth Proportional to 208,721.61, 288,035.90 and 118,075.66

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Solution

The fourth proportional to 208,721.61, 288,035.90 and 118,075.66 is: 162,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721.61 : 288,035.90 = 118,075.66 : x
  2. Step 2: Convert to fraction form
    208,721.61/288,035.90 = 118,075.66/x
  3. Step 3: Cross multiply
    208,721.61x = 288,035.90 × 118,075.66
  4. Step 4: Simplify right side
    208,721.61x = 34,010,028,128.51
  5. Step 5: Solve for x
    x = 34,010,028,128.51/208,721.61
  6. Step 6: Final answer
    x = 162,944.45

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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.