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Finding the Fourth Proportional to 105,159.35, 145,136.56 and 66,878.98

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Solution

The fourth proportional to 105,159.35, 145,136.56 and 66,878.98 is: 92,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.35 : 145,136.56 = 66,878.98 : x
  2. Step 2: Convert to fraction form
    105,159.35/145,136.56 = 66,878.98/x
  3. Step 3: Cross multiply
    105,159.35x = 145,136.56 × 66,878.98
  4. Step 4: Simplify right side
    105,159.35x = 9,706,585,093.51
  5. Step 5: Solve for x
    x = 9,706,585,093.51/105,159.35
  6. Step 6: Final answer
    x = 92,303.59

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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.