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Finding the Fourth Proportional to 145,312.80, 217,807.20 and 56,536.80

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Solution

The fourth proportional to 145,312.80, 217,807.20 and 56,536.80 is: 84,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,312.80 : 217,807.20 = 56,536.80 : x
  2. Step 2: Convert to fraction form
    145,312.80/217,807.20 = 56,536.80/x
  3. Step 3: Cross multiply
    145,312.80x = 217,807.20 × 56,536.80
  4. Step 4: Simplify right side
    145,312.80x = 12,314,122,104.96
  5. Step 5: Solve for x
    x = 12,314,122,104.96/145,312.80
  6. Step 6: Final answer
    x = 84,742.17

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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.