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Finding the Fourth Proportional to 348,699, 523,048.50 and 86,043

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Solution

The fourth proportional to 348,699, 523,048.50 and 86,043 is: 129,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,699 : 523,048.50 = 86,043 : x
  2. Step 2: Convert to fraction form
    348,699/523,048.50 = 86,043/x
  3. Step 3: Cross multiply
    348,699x = 523,048.50 × 86,043
  4. Step 4: Simplify right side
    348,699x = 45,004,662,085.50
  5. Step 5: Solve for x
    x = 45,004,662,085.50/348,699
  6. Step 6: Final answer
    x = 129,064.50

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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.