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Finding the Fourth Proportional to 292,130, 403,139.40 and 157,994

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Solution

The fourth proportional to 292,130, 403,139.40 and 157,994 is: 218,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,130 : 403,139.40 = 157,994 : x
  2. Step 2: Convert to fraction form
    292,130/403,139.40 = 157,994/x
  3. Step 3: Cross multiply
    292,130x = 403,139.40 × 157,994
  4. Step 4: Simplify right side
    292,130x = 63,693,606,363.60
  5. Step 5: Solve for x
    x = 63,693,606,363.60/292,130
  6. Step 6: Final answer
    x = 218,031.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.