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Finding the Fourth Proportional to 286,037.19, 429,058.37 and 72,805.34

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Solution

The fourth proportional to 286,037.19, 429,058.37 and 72,805.34 is: 109,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037.19 : 429,058.37 = 72,805.34 : x
  2. Step 2: Convert to fraction form
    286,037.19/429,058.37 = 72,805.34/x
  3. Step 3: Cross multiply
    286,037.19x = 429,058.37 × 72,805.34
  4. Step 4: Simplify right side
    286,037.19x = 31,237,741,762.36
  5. Step 5: Solve for x
    x = 31,237,741,762.36/286,037.19
  6. Step 6: Final answer
    x = 109,208.67

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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.