Finding the Fourth Proportional to 77,167,203.66, 106,343,946.90 and 75,749,058.09
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Solution
The fourth proportional to 77,167,203.66, 106,343,946.90 and 75,749,058.09 is: 104,389,603.73
Step by Step Solution
- Step 1: Write the proportion equation
77,167,203.66 : 106,343,946.90 = 75,749,058.09 : x - Step 2: Convert to fraction form
77,167,203.66/106,343,946.90 = 75,749,058.09/x - Step 3: Cross multiply
77,167,203.66x = 106,343,946.90 × 75,749,058.09 - Step 4: Simplify right side
77,167,203.66x = 8,055,453,811,247,976 - Step 5: Solve for x
x = 8,055,453,811,247,976/77,167,203.66 - Step 6: Final answer
x = 104,389,603.73
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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.