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Finding the Fourth Proportional to 208,129.60, 312,501.60 and 146,075.20

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Solution

The fourth proportional to 208,129.60, 312,501.60 and 146,075.20 is: 219,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.60 : 312,501.60 = 146,075.20 : x
  2. Step 2: Convert to fraction form
    208,129.60/312,501.60 = 146,075.20/x
  3. Step 3: Cross multiply
    208,129.60x = 312,501.60 × 146,075.20
  4. Step 4: Simplify right side
    208,129.60x = 45,648,733,720.32
  5. Step 5: Solve for x
    x = 45,648,733,720.32/208,129.60
  6. Step 6: Final answer
    x = 219,328.41

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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.