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Finding the Fourth Proportional to 152,322.62, 210,205.42 and 83,411.76

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Solution

The fourth proportional to 152,322.62, 210,205.42 and 83,411.76 is: 115,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,322.62 : 210,205.42 = 83,411.76 : x
  2. Step 2: Convert to fraction form
    152,322.62/210,205.42 = 83,411.76/x
  3. Step 3: Cross multiply
    152,322.62x = 210,205.42 × 83,411.76
  4. Step 4: Simplify right side
    152,322.62x = 17,533,604,043.74
  5. Step 5: Solve for x
    x = 17,533,604,043.74/152,322.62
  6. Step 6: Final answer
    x = 115,108.34

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