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Finding the Fourth Proportional to 153,870.66, 230,834.07 and 70,762.50

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Solution

The fourth proportional to 153,870.66, 230,834.07 and 70,762.50 is: 106,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,870.66 : 230,834.07 = 70,762.50 : x
  2. Step 2: Convert to fraction form
    153,870.66/230,834.07 = 70,762.50/x
  3. Step 3: Cross multiply
    153,870.66x = 230,834.07 × 70,762.50
  4. Step 4: Simplify right side
    153,870.66x = 16,334,395,878.38
  5. Step 5: Solve for x
    x = 16,334,395,878.38/153,870.66
  6. Step 6: Final answer
    x = 106,156.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.