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Finding the Fourth Proportional to 287,136, 430,723.77 and 97,518.96

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Solution

The fourth proportional to 287,136, 430,723.77 and 97,518.96 is: 146,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,136 : 430,723.77 = 97,518.96 : x
  2. Step 2: Convert to fraction form
    287,136/430,723.77 = 97,518.96/x
  3. Step 3: Cross multiply
    287,136x = 430,723.77 × 97,518.96
  4. Step 4: Simplify right side
    287,136x = 42,003,734,097.68
  5. Step 5: Solve for x
    x = 42,003,734,097.68/287,136
  6. Step 6: Final answer
    x = 146,285.15

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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.