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Finding the Fourth Proportional to 152,838, 210,935.88 and 85,770

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Solution

The fourth proportional to 152,838, 210,935.88 and 85,770 is: 118,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,838 : 210,935.88 = 85,770 : x
  2. Step 2: Convert to fraction form
    152,838/210,935.88 = 85,770/x
  3. Step 3: Cross multiply
    152,838x = 210,935.88 × 85,770
  4. Step 4: Simplify right side
    152,838x = 18,091,970,427.60
  5. Step 5: Solve for x
    x = 18,091,970,427.60/152,838
  6. Step 6: Final answer
    x = 118,373.51

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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.