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Finding the Fourth Proportional to 152,865, 210,973.68 and 85,797

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Solution

The fourth proportional to 152,865, 210,973.68 and 85,797 is: 118,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,865 : 210,973.68 = 85,797 : x
  2. Step 2: Convert to fraction form
    152,865/210,973.68 = 85,797/x
  3. Step 3: Cross multiply
    152,865x = 210,973.68 × 85,797
  4. Step 4: Simplify right side
    152,865x = 18,100,908,822.96
  5. Step 5: Solve for x
    x = 18,100,908,822.96/152,865
  6. Step 6: Final answer
    x = 118,411.07

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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.