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Finding the Fourth Proportional to 160,635, 221,681.16 and 89,008.32

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Solution

The fourth proportional to 160,635, 221,681.16 and 89,008.32 is: 122,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,635 : 221,681.16 = 89,008.32 : x
  2. Step 2: Convert to fraction form
    160,635/221,681.16 = 89,008.32/x
  3. Step 3: Cross multiply
    160,635x = 221,681.16 × 89,008.32
  4. Step 4: Simplify right side
    160,635x = 19,731,467,627.25
  5. Step 5: Solve for x
    x = 19,731,467,627.25/160,635
  6. Step 6: Final answer
    x = 122,834.17

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1.5x scale

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.