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Finding the Fourth Proportional to 571,416.96, 857,116.71 and 139,138.47

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Solution

The fourth proportional to 571,416.96, 857,116.71 and 139,138.47 is: 208,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,416.96 : 857,116.71 = 139,138.47 : x
  2. Step 2: Convert to fraction form
    571,416.96/857,116.71 = 139,138.47/x
  3. Step 3: Cross multiply
    571,416.96x = 857,116.71 × 139,138.47
  4. Step 4: Simplify right side
    571,416.96x = 119,257,907,640.83
  5. Step 5: Solve for x
    x = 119,257,907,640.83/571,416.96
  6. Step 6: Final answer
    x = 208,705.58

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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.